User:Lucius Chiaraviglio/Keyboard Layout Lab/Marvel and Miracle Lumatone mappings: Difference between revisions

← Older edit

VisualWikitext

@@ Line 2: / Line 2: @@
 Moved here from the main [[User:Lucius Chiaraviglio/Keyboard Layout Lab|Keyboard Layout Lab]] page and the [[User:Lucius_Chiaraviglio/Keyboard_Layout_Lab/Various_other_Lumatone_mappings|Various other Lumatone mappings]] page:  [[User:Lucius Chiaraviglio|Lucius Chiaraviglio]] ([[User talk:Lucius Chiaraviglio|talk]]) 07:04, 31 May 2025 (UTC)
+== Diploid Marvel extension Lumatone mappings ==
+=== 84edo (demonstrated to work) ===
+[[Bryan Deister]] has demonstrated a [[10L&nbsp;4s]] (8:1 step ratio) mapping for [[84edo]] in [https://www.youtube.com/shorts/Sqkxrmwggr0 ''microtonal improvisation in 84edo''] (2025). The rightward generator 8\84 (shared with the [[Orwell]] mapping) functions as both ~[[15/14]] and ~[[16/15]], making this a [[Marvel]] temperament; two of these make a slightly flat septimal supermajor second (~[[8/7]]); four of these make a slightly flat Barbados third (~[[13/10]]). However, by itself this generator would produce a [[contorted]] mapping even with the [[semioctave]] [[period]] implied by 10L&nbsp;4s, so a second generator is required. The chroma of the scale (7\84, the upwards generator) is not very convenient as a secondary generator, and also produces a contorted mapping if used alone, so it makes sense to use the down-right generator 1\84 (the small step of the scale) as the secondary generator.  This functions as a near-just version of the starling chroma (~[[126/125]]), but also functions as a narrow version of the syntonic chroma (~[[81/80]]), a slightly narrow version of the animist chroma (~[[105/104]]), and as a wide version of the buzurgismic/dhanvantarismic chroma (~[[169/168]]) or the mycunumic chroma (~[[196/195]]); two of these make a near-just septimal chroma (~[[64/63]]); and adding three of these to the aforementioned Barbados third (reached with the rightward generator) yields the very accurate fourth (~[[4/3]]) at 35\84 (shared with [[12edo]] as 5\12). (Nevertheless, sheer distance may be a problem for people who do not have long fingers &mdash; a problem hard to avoid with large EDO sizes, that force octaves to be long to avoid missing notes.) Near-just versions of common intervals are reachable using both generators in combination: three rightward generators minus two down-right generators to get the classic major third ~[[6/5]] at 22\84, and three of each generator to get the classic major third ~[[5/4]] at 27\84. The range would be 2½ octaves with no missed notes if note for a missed note 36 in the highest semioctave; some notes are repeated for ease in vertical transitions; and the octaves are perfectly level.
+{{Lumatone EDO mapping|n=84|start=12|xstep=8|ystep=-7}}
+Added:  [[User:Lucius Chiaraviglio|Lucius Chiaraviglio]] ([[User talk:Lucius Chiaraviglio|talk]]) 08:39, 17 July 2025 (UTC)<br>
+Last modified:  [[User:Lucius Chiaraviglio|Lucius Chiaraviglio]] ([[User talk:Lucius Chiaraviglio|talk]]) 09:09, 18 July 2025 (UTC)
+== Harry + Marvolo (Marvel) + Miracle Lumatone mappings ==
+=== 72edo (demonstrated to work) ===
+[[Bryan Deister]] has demonstrated a mapping of [[72edo]] as nine rings of [[8edo]] going right, offset so as to also produce the scale [[11L&nbsp;9s&nbsp;(4/1-equivalent)]], in [https://www.youtube.com/shorts/VwVp3RVao_k ''microtonal improvisation in 72edo''] (2025). While this mapping works to get as many notes as possible of 72edo into 280 keys (yielding a range of over 3⅔ octaves, it was designed to work to support specific temperaments. The close approximations of ~[[6/5]] as 19\72 and ~[[5/4]] as 23\72 (if using note 0 as the root) are next to each other and not far from the root right and somewhat down. From note 0, moving right and somewhat down between the note 1 and note 6 keys to reach 14\72 yields a highly accurate ~[[8/7]], which corresponds to two generators (~[[15/14]]) of [[Miracle]]. (It is also the generator of [[Gamelismic_clan#Guiron|Guiron]], [[Mothra]], and [[Slendric]], but 72edo is contorted in those temperaments). Repeating this move twice more yields the highly accurate ~[[3/2]] as 42\72; repeating it once more after that to reach 56\72 yields an almost-just ~[[12/7]]; from there, moving one key to the right yields the primary generator of [[Marvel]] temperament, ~[[15/8]], as 65\72. The down-right generator 5\72 ([[20/19]] ~ [[21/20]] ~ [[22/21]]) matches [[Harry]] and [[Marvel_temperaments#Marvolo|Marvolo]].
+{{Lumatone EDO mapping|n=72|start=0|xstep=9|ystep=-4}}
+Added:  [[User:Lucius Chiaraviglio|Lucius Chiaraviglio]] ([[User talk:Lucius Chiaraviglio|talk]]) 13:24, 28 May 2025 (UTC)<br>
+Last modified:  [[User:Lucius Chiaraviglio|Lucius Chiaraviglio]] ([[User talk:Lucius Chiaraviglio|talk]]) 16:28, 30 May 2025 (UTC)
+Moved here:  [[User:Lucius Chiaraviglio|Lucius Chiaraviglio]] ([[User talk:Lucius Chiaraviglio|talk]]) 07:04, 31 May 2025 (UTC)
 == Miracle (Miraculous) Lumatone mappings ==
+=== 41edo (demonstrated to work) ===
 It is possible to map [[41edo]] as a [[Miracle]] ([[Miracle/Extensions|Miraculous]]) tuning, with a [[8L&nbsp;3s]] scale (4:3 step ratio), using a secor (~[[15/14]] tempered together with ~[[16/15]]) which is in turn tempered together with ~[[14/13]] (as per the Miraculous 13-limit extension). In this mapping, the range is only three octaves, but the octaves are perfectly level, each note is repeated at least twice, with a few being repeated three times, thus enabling the use of two manuals if the layout is offset appropriately. [[Bryan Deister]] has used this layout in [https://www.youtube.com/shorts/kLMuRP82bZw ''microtonal dance in 41edo ''] (2023), although without a color scheme that would show the layout.
@@ Line 10: / Line 35: @@
 Added:  [[User:Lucius Chiaraviglio|Lucius Chiaraviglio]] ([[User talk:Lucius Chiaraviglio|talk]]) 07:02, 13 July 2025 (UTC)<br>
-Last modified:  [[User:Lucius Chiaraviglio|Lucius Chiaraviglio]] ([[User talk:Lucius Chiaraviglio|talk]]) 07:12, 13 July 2025 (UTC)
+Last modified:  [[User:Lucius Chiaraviglio|Lucius Chiaraviglio]] ([[User talk:Lucius Chiaraviglio|talk]]) 07:08, 14 July 2025 (UTC)
 == Miracle + Ripple (off-beat) Lumatone mappings ==
@@ Line 40: / Line 65: @@
 Added:  [[User:Lucius Chiaraviglio|Lucius Chiaraviglio]] ([[User talk:Lucius Chiaraviglio|talk]]) 22:51, 20 May 2025 (UTC)<br>
 Last modified:  [[User:Lucius Chiaraviglio|Lucius Chiaraviglio]] ([[User talk:Lucius Chiaraviglio|talk]]) 08:09, 22 May 2025 (UTC)
-== Harry + Marvolo (Marvel) + Miracle Lumatone mappings ==
-=== 72edo (demonstrated to work) ===
-[[Bryan Deister]] has demonstrated a mapping of [[72edo]] as nine rings of [[8edo]] going right, offset so as to also produce the scale [[11L&nbsp;9s&nbsp;(4/1-equivalent)]], in [https://www.youtube.com/shorts/VwVp3RVao_k ''microtonal improvisation in 72edo''] (2025). While this mapping works to get as many notes as possible of 72edo into 280 keys (yielding a range of over 3⅔ octaves, it was designed to work to support specific temperaments. The close approximations of ~[[6/5]] as 19\72 and ~[[5/4]] as 23\72 (if using note 0 as the root) are next to each other and not far from the root right and somewhat down. From note 0, moving right and somewhat down between the note 1 and note 6 keys to reach 14\72 yields a highly accurate ~[[8/7]], which corresponds to two generators (~[[15/14]]) of [[Miracle]]. (It is also the generator of [[Gamelismic_clan#Guiron|Guiron]], [[Mothra]], and [[Slendric]], but 72edo is contorted in those temperaments). Repeating this move twice more yields the highly accurate ~[[3/2]] as 42\72; repeating it once more after that to reach 56\72 yields an almost-just ~[[12/7]]; from there, moving one key to the right yields the primary generator of [[Marvel]] temperament, ~[[15/8]], as 65\72. The down-right generator 5\72 ([[20/19]] ~ [[21/20]] ~ [[22/21]]) matches [[Harry]] and [[Marvel_temperaments#Marvolo|Marvolo]].
-{{Lumatone EDO mapping|n=72|start=0|xstep=9|ystep=-4}}
-Added:  [[User:Lucius Chiaraviglio|Lucius Chiaraviglio]] ([[User talk:Lucius Chiaraviglio|talk]]) 13:24, 28 May 2025 (UTC)<br>
-Last modified:  [[User:Lucius Chiaraviglio|Lucius Chiaraviglio]] ([[User talk:Lucius Chiaraviglio|talk]]) 16:28, 30 May 2025 (UTC)
-Moved here:  [[User:Lucius Chiaraviglio|Lucius Chiaraviglio]] ([[User talk:Lucius Chiaraviglio|talk]]) 07:04, 31 May 2025 (UTC)